Publications

Recent Publications

  1. ArXiv Cylindric Partitions and some new A_2 Rogers-Ramanujan Identities, with Sylvie Corteel and Jehanne Dousse. (accepted, Proc. Amer. Math. Soc.)
  2. ArXiv qFunctions – A Mathematica package for q-series and partition theory applications, with Jakob Ablinger. Journal of Symbolic Computation 107 (2021), 145-166.
  3. ArXiv Logconcavity results for a biparametric and an elliptic extension of the q-binomial coefficients, with Michael Schlosser and  Koushik Senapati. International Journal of Number Theory DOI: 10.1142/S1793042120400187
  4. ArXiv Where do the maximum absolute q-series coefficients of (1-q)(1-q^2)(1-q^3)\dots(1-q^{n-1})(1-q^n) occur?, with Alexander Berkovich. Experimental Mathematics, DOI: 10.1080/10586458.2020.1776177
  5. ArXiv On a weighted spin of the Lebesgue Identity. Mathematical Aspects of Computer and Information Sciences. MACIS 2019. Lecture Notes in Computer Science, vol 11989. Springer, Cham. https://doi.org/10.1007/978-3-030-43120-4_20
  6. ArXiv A Polynomial Identity Implying Schur’s Partition Theorem. Proc. Amer. Math. Soc. 148 (2020), 3307-3324
  7. ArXiv On Double Sum Generating Functions in Connection with Some Classical Partition Theorems. (submitted)
  8. ArXiv Refined q-Trinomial Coefficients and Two Infinite Hierarchies of q-Series Identities, with Alexander Berkovich. Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra. Texts & Monographs in Symbolic Computation (A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria). Springer, Cham. https://doi.org/10.1007/978-3-030-44559-1_4
  9. ArXiv Elementary Polynomial Identities Involving q-Trinomial Coefficients, with Alexander Berkovich. Ann. Comb. 23 (2019), 549–560.
  10. ArXiv Polynomial Identities Implying Capparelli’s Partition Theorems, with Alexander Berkovich. J. Number Theory 201 (2019), 77-107.
  11. ArXiv Some Elementary Partition Inequalities and Their Implications, with Alexander Berkovich. Ann. Comb. 23 (2019), 263-284.
  12. ArXiv Weighted Rogers-Ramanujan Partitions and Dyson Crank.  Ramanujan J. 46 (2018), no. 2, 579–591.
  13. ArXiv On Some Polynomials and Series of Bloch-Polya Type, with Alexander Berkovich. Proc. Amer. Math. Soc. 146 (2018), no. 7, 2827–2838.
  14. ArXiv New Weighted Partition Theorems with the Emphasis on the Smallest Part of Partitions, with Alexander Berkovich. ALLADI 60 2016: Analytic Number Theory, Modular Forms and q-Hypergeometric Series (2017) pp 69-94 Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 221)
  15. ArXiv Variation on a theme of Nathan Fine. New weighted partition identities, with Alexander Berkovich. J. Number Theory 176 (2017), 226–248.
  16. ArXiv On partitions with fixed number of even-indexed and odd-indexed odd parts, with Alexander Berkovich. J. Number Theory 167 (2016), 7–30.
  17. ArXiv A New Companion to Capparelli’s Identities, with Alexander Berkovich. Adv. in Appl. Math. 71 (2015), 125–137.

Soon to be Public

  • On two new conjectural sum-product identities modulo 6, (joint with George E. Andrews)
  • Counting  on 4-decorated diagrams.

Referee Work

Advances in Applied Mathematics, American Mathematical Monthly, Annales Henri Poincaré D (Physics and combinatorics), Annals of Combinatorics, Discrete Mathematics, Integral Transforms and Special Functions, International Journal of Number Theory, Journal of Combinatorial Theory – Series A, Journal of Integer Sequences, Journal of Difference Equations and Applications, Journal of Number Theory,  Journal of Symbolic Computation, Proceedings of the American Mathematical Society, Ramanujan Journal, Research in Number Theory, Turkish Journal of Mathematics.

Reviewer for American Mathematical Society MathSciNet.

Judge at MAA Committee on Undergraduate poster session at JMM 2019 and 2020.